Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #23752545 | C2 | semidirect |
| 3. #23752525 | C2 | semidirect |
| 4. #23752460 | C2 | semidirect |
| 5. #23752362 | C2 | semidirect |
| 6. #23752351 | C2 | semidirect |
| 7. #23752176 | C2 | semidirect |
| 8. C2×C22⋊Q8×C151 | C2 | semidirect |
| 11. C2×#14558991 | C22 | semidirect |
| 12. C2×#14558988 | C22 | semidirect |
| 19. #18012672 | C22 | semidirect |
| 20. #18012663 | C22 | semidirect |
| 21. #18012659 | C22 | semidirect |
| 23. C22⋊(C151⋊C8) | C22 | semidirect |
| 24. C22×Q8×C151 | C22 | semidirect |
| 29. C22⋊Q8×C151 | C22 | semidirect |
| 31. C2×C4⋊C4×C151 | C22 | semidirect |
| 129. C151 | #3193 | semidirect |
| 131. C2×C22⋊Q8 | D151 | semidirect |
| 139. C22×Q8 | C2×D151 | semidirect |
| 148. C22⋊Q8 | C2×D151 | semidirect |
| 155. C2×C4⋊C4 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012713 | 2 |
| #23752545 | 2 |
| #23752525 | 2 |
| #23752460 | 2 |
| #23752362 | 2 |
| #23752351 | 2 |
| #23752176 | 2 |
| C2×C22⋊Q8×C151 | 2 |
| #3193 | 151 |